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+//Harriot P.,2003,Chemical Reactor Design (I-Edition) Marcel Dekker,Inc.,USA,pp 436.
+//Chapter-5 Ex5.3 Pg No. 209
+//Title:Overall heat transfer coefficients and radial average bed temperature for packed bed reactor
+//=============================================================================================================
+clear
+clc
+
+// COMMON INPUT
+k_s= 8*10^(-4);//(cal/sec cm°C)
+M_air_avg=29.24;// Average Molecular weight of air
+Cp_air_mol=7.91;// cal/mol°C;
+Cp_air_g=Cp_air_mol/M_air_avg;//cal/g°C
+dp=0.4;//Size of the catalyst pellet (cm)
+D=3.8;//Diameter of tube (cm)
+R_pellet=D/2;//Radius
+f_EO=0.7;//Fraction  of ethylene forming ethylene oxide 
+f_CO2_H2O=1-f_EO;//Fraction  of ethylene forming CO2 and H2O
+rho_p=2.5;//Density of catalyst particle (g/cm3)
+V_ref=22400;//Reference volume(cm3)
+T_ref=273;// Reference Temperature (K)
+P_ref=1;//Reference  Pressure (atm)
+P=5;//System Pressure (atm)
+T_C=230;//System Temperature (°C)
+T=T_C+273;//System Temperature (K)
+u_ft=[1.5 3];//Velocity (ft/s)
+myu=0.026*(10^(-2));//Viscosity of air (Poise)
+M_wt=[28 32 44 28];//Molecular weight
+M_fraction=[0.04 0.07 0.06 0.83];
+Cp=[15.3 7.4 10.7 7.4];//(cal/mol°C)
+k_g=9.27*10^(-5);//(cal/sec cm°C)
+del_H_rxn=[-29.9 -317];//(kcal/mol)
+E=18*1000;//Activation Energy (cal)
+R=1.987;//Gas Constant (cal/K.mol)
+
+//CALCULATION (Ex5.3.a)
+rho=M_air_avg*P*T_ref/(V_ref*P_ref*T);
+u=30.533.*u_ft;//Velocity in (cm/s)
+Re_p=(rho*dp/myu).*u;
+Pr=Cp_air_g*myu/k_g;
+ks_by_kg=k_s/k_g;
+k0e_by_kg=3.5;//From figure 5.16 Pg. No. 203
+kr_by_kg=2.5;//From equation 5.68 and 5.69  Pg. No. 204
+for i=1:2
+    ktd_by_k_air(i)=(0.1*Pr)*Re_p(i);
+ke_by_kg(i)=(k0e_by_kg+kr_by_kg)+ktd_by_k_air(i);
+k_e(i)=ke_by_kg(i)*k_g;
+h_bed(i)=4*k_e(i)/R_pellet;
+Nu_w(i)=(1.94*Pr^(0.33))*Re_p(i)^(0.5);//Refer equation 5.83  Pg. No. 208
+h_w(i)=(k_g/dp)*Nu_w(i);//(cal/sec cm2 K)
+h_j=100*10^(-3);//Assumed
+      U(i)=1/((1/h_j)+(1/h_w(i))+(1/h_bed(i)));
+end
+
+//CALCULATION (Ex5.3.b)
+minus_delH=f_EO*(-del_H_rxn(1))+f_CO2_H2O*(-del_H_rxn(2));
+T_max=T+20;
+del_Tc= R*(T_max)^2/E;
+T_new=250 +273;
+X_E=0.1;
+k250_by_k230=exp((E/R)*((1/T)-(1/T_new)));
+P_E=P*(1-X_E)*M_fraction(1);
+P_O2=P*(1-f_EO*X_E)*M_fraction(2);
+P_CO2=P*(1+f_CO2_H2O*X_E)*M_fraction(3);
+r=k250_by_k230*((0.076*P_E*P_O2)/(1+2*P_E+15*P_CO2));
+Q_dash=r*minus_delH*10^3/3600;
+epsilon=0.4;
+rho_bed=rho_p*(1-0.4);
+A_percm3=4/D;
+Q=(Q_dash*rho_bed)
+for i=1:2
+    delta_T(i)=(Q/A_percm3)*(1/U(i));
+end
+
+//OUTPUT ((Ex5.3.a))
+mprintf('\n OUTPUT Ex5.3.a');
+mprintf('\n==========================================================')
+mprintf('\nThe Overall Heat transfer coefficient for given Velocities' )
+mprintf('\n==========================================================')
+mprintf('\n  u(velocity)     U')
+mprintf('\n  (ft/s)     (cal/cm2 sec K)')
+mprintf('\n==========================================================')
+for i=1:2
+    mprintf('\n %0.1f     %3E',u_ft(i),U(i))
+end
+
+//OUTPUT ((Ex5.3.b)
+mprintf('\n\n\n OUTPUT Ex5.3.b');
+mprintf('\n==========================================================')
+mprintf('\nThe Peak Radial average bed temperature for given Velocities' )
+mprintf('\n==========================================================')
+mprintf('\n  u(velocity)     delta_T')
+mprintf('\n  (ft/s)           (°C)')
+mprintf('\n==========================================================')
+for i=1:2
+    mprintf('\n  %0.1f \t  \t  %0.0f',u_ft(i),delta_T(i))
+end
+
+//FILE OUTPUT
+fid= mopen('.\Chapter5-Ex3-Output.txt','w');
+mfprintf(fid,'\n OUTPUT Ex5.3.a');
+mfprintf(fid,'\n==========================================================')
+mfprintf(fid,'\nThe Overall Heat transfer coefficient for given Velocities' )
+mfprintf(fid,'\n==========================================================')
+mfprintf(fid,'\n  u(velocity)     U')
+mfprintf(fid,'\n  (ft/s)     (cal/cm2 sec K)')
+mfprintf(fid,'\n==========================================================')
+for i=1:2
+    mfprintf(fid,'\n %0.1f     %3E',u_ft(i),U(i))
+end
+mfprintf(fid,'\n\n\n OUTPUT Ex5.3.b');
+mfprintf(fid,'\n==========================================================')
+mfprintf(fid,'\nThe Peak Radial average bed temperature for given Velocities' )
+mfprintf(fid,'\n==========================================================')
+mfprintf(fid,'\n  u(velocity)     delta_T')
+mfprintf(fid,'\n  (ft/s)           (°C)')
+mfprintf(fid,'\n==========================================================')
+for i=1:2
+    mfprintf(fid,'\n  %0.1f \t  \t  %0.0f',u_ft(i),delta_T(i))
+end
+mclose(fid);
+//===============================================END OF PROGRAM=======================================================
+
+